Least Common Multiple of 39250 and 39254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39250 and 39254 the smallest integer that is 770359750 that is divisible by both numbers.

Least Common Multiple (LCM) of 39250 and 39254 is 770359750.

LCM(39250,39254) = 770359750

LCM of 39250 and 39254

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 39250 and 39254

LCM of 39250 and 39254 is 770359750

Least common multiple can be found by multiplying the highest exponent prime factors of 39250 and 39254. First we will calculate the prime factors of 39250 and 39254.

Prime Factorization of 39250


2 39250
5 19625
5 3925
5 785
157 157
1

Prime factors of 39250 are 2, 5,157. Prime factorization of 39250 in exponential form is:

39250 = 21×53×1571

Prime Factorization of 39254


2 39254
19 19627
1033 1033
1

Prime factors of 39254 are 2, 19,1033. Prime factorization of 39254 in exponential form is:

39254 = 21×191×10331

Now multiplying the highest exponent prime factors to calculate the LCM of 39250 and 39254.

LCM(39250,39254) = 21×53×191×1571×10331
LCM(39250,39254) = 770359750

Factors of 39250

List of positive integer factors of 39250 that divides 39250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 157, 250, 314, 785, 1570, 3925, 7850, 19625, 39250

Factors of 39254

List of positive integer factors of 39254 that divides 39254 without a remainder.

1, 2, 19, 38, 1033, 2066, 19627, 39254

Least Common Multiple of 39250 and 39254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39250 and 39254, than apply into the LCM equation.

GCF(39250,39254) = 2
LCM(39250,39254) = ( 39250 × 39254) / 2
LCM(39250,39254) = 1540719500 / 2
LCM(39250,39254) = 770359750

Properties of LCM 39250 and 39254

(i) The LCM of 39254 and 39250 is associative

LCM of 39250 and 39254 = LCM of 39254 and 39250

Related Least Common Multiples of 39250

Related Least Common Multiples of 39254

Frequently Asked Questions on LCM of 39250 and 39254

1. What is the LCM of 39250 and 39254?

Answer: LCM of 39250 and 39254 is 770359750.

2. What are the Factors of 39250?

Answer: Factors of 39250 are 1, 2, 5, 10, 25, 50, 125, 157, 250, 314, 785, 1570, 3925, 7850, 19625, 39250. There are 16 integers that are factors of 39250. The greatest factor of 39250 is 39250.

3. What are the Factors of 39254?

Answer: Factors of 39254 are 1, 2, 19, 38, 1033, 2066, 19627, 39254. There are 8 integers that are factors of 39254. The greatest factor of 39254 is 39254.

4. How to Find the LCM of 39250 and 39254?

Answer:

Least Common Multiple of 39250 and 39254 = 770359750

Step 1: Find the prime factorization of 39250

39250 = 2 x 5 x 5 x 5 x 157

Step 2: Find the prime factorization of 39254

39254 = 2 x 19 x 1033

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 770359750 = 2 x 5 x 5 x 5 x 19 x 157 x 1033

Step 4: Therefore, the least common multiple of 39250 and 39254 is 770359750.